Two-Point Gromov-Witten Formulas for Symplectic Toric Manifolds

Alexandra Popa

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arXiv · 1206.2703

Two-Point Gromov-Witten Formulas for Symplectic Toric Manifolds

Alexandra Popa

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Abstract

We show that the standard generating functions for genus 0 two-point twisted Gromov-Witten invariants arising from concavex vector bundles over symplectic toric manifolds are explicit transforms of the corresponding one-point generating functions. The latter are, in turn, transforms of Givental's J-function. We obtain closed formulas for them and, in particular, for two-point Gromov-Witten invariants of non-negative toric complete intersections. Such two-point formulas should play a key role in the computation of genus 1 Gromov-Witten invariants (closed, open, and unoriented) of toric complete intersections as they indeed do in the case of the projective complete intersections.

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Alexandra Popa. 2013-06-08. Two-Point Gromov-Witten Formulas for Symplectic Toric Manifolds. https://arxiv.org/abs/1206.2703

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